TSTP Solution File: SET762+4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET762+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:25:34 EDT 2022
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 40 ( 11 unt; 0 def)
% Number of atoms : 109 ( 1 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 112 ( 43 ~; 29 |; 25 &)
% ( 6 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 90 ( 73 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f209,plain,
$false,
inference(subsumption_resolution,[],[f208,f185]) ).
fof(f185,plain,
~ equal_set(sF12,empty_set),
inference(definition_folding,[],[f172,f184]) ).
fof(f184,plain,
sF12 = image2(sK8,empty_set),
introduced(function_definition,[]) ).
fof(f172,plain,
~ equal_set(image2(sK8,empty_set),empty_set),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( maps(sK8,sK9,sK10)
& ~ equal_set(image2(sK8,empty_set),empty_set) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f119,f120]) ).
fof(f120,plain,
( ? [X0,X1,X2] :
( maps(X0,X1,X2)
& ~ equal_set(image2(X0,empty_set),empty_set) )
=> ( maps(sK8,sK9,sK10)
& ~ equal_set(image2(sK8,empty_set),empty_set) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
? [X0,X1,X2] :
( maps(X0,X1,X2)
& ~ equal_set(image2(X0,empty_set),empty_set) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
? [X1,X0,X2] :
( maps(X1,X0,X2)
& ~ equal_set(image2(X1,empty_set),empty_set) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
~ ! [X1,X2,X0] :
( maps(X1,X0,X2)
=> equal_set(image2(X1,empty_set),empty_set) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X0,X5,X1] :
( maps(X5,X0,X1)
=> equal_set(image2(X5,empty_set),empty_set) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X0,X5,X1] :
( maps(X5,X0,X1)
=> equal_set(image2(X5,empty_set),empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIIa12) ).
fof(f208,plain,
equal_set(sF12,empty_set),
inference(resolution,[],[f193,f202]) ).
fof(f202,plain,
! [X0] : subset(sF12,X0),
inference(resolution,[],[f201,f168]) ).
fof(f168,plain,
! [X0,X1] :
( member(sK7(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ( member(sK7(X0,X1),X1)
& ~ member(sK7(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f114,f115]) ).
fof(f115,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X1)
& ~ member(X3,X0) )
=> ( member(sK7(X0,X1),X1)
& ~ member(sK7(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X3] :
( member(X3,X1)
& ~ member(X3,X0) ) ) ),
inference(rectify,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
<=> subset(X1,X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
fof(f201,plain,
! [X0] : ~ member(X0,sF12),
inference(subsumption_resolution,[],[f200,f177]) ).
fof(f177,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] : ~ member(X0,empty_set),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2] : ~ member(X2,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set) ).
fof(f200,plain,
! [X0] :
( member(sK4(sK8,X0,empty_set),empty_set)
| ~ member(X0,sF12) ),
inference(superposition,[],[f154,f184]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ member(X1,image2(X0,X2))
| member(sK4(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ( ( member(sK4(X0,X1,X2),X2)
& apply(X0,sK4(X0,X1,X2),X1) )
| ~ member(X1,image2(X0,X2)) )
& ( member(X1,image2(X0,X2))
| ! [X4] :
( ~ member(X4,X2)
| ~ apply(X0,X4,X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f96,f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ? [X3] :
( member(X3,X2)
& apply(X0,X3,X1) )
=> ( member(sK4(X0,X1,X2),X2)
& apply(X0,sK4(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( member(X3,X2)
& apply(X0,X3,X1) )
| ~ member(X1,image2(X0,X2)) )
& ( member(X1,image2(X0,X2))
| ! [X4] :
( ~ member(X4,X2)
| ~ apply(X0,X4,X1) ) ) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( member(X3,X2)
& apply(X0,X3,X1) )
| ~ member(X1,image2(X0,X2)) )
& ( member(X1,image2(X0,X2))
| ! [X3] :
( ~ member(X3,X2)
| ~ apply(X0,X3,X1) ) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ? [X3] :
( member(X3,X2)
& apply(X0,X3,X1) )
<=> member(X1,image2(X0,X2)) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X5,X4,X0] :
( ? [X2] :
( apply(X5,X2,X4)
& member(X2,X0) )
<=> member(X4,image2(X5,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image2) ).
fof(f193,plain,
! [X0] :
( ~ subset(X0,empty_set)
| equal_set(X0,empty_set) ),
inference(resolution,[],[f143,f188]) ).
fof(f188,plain,
! [X1] : subset(empty_set,X1),
inference(resolution,[],[f168,f177]) ).
fof(f143,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| equal_set(X0,X1) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
<=> equal_set(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET762+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 14:33:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.21/0.46 % (13432)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.46 % (13440)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.47 % (13432)Instruction limit reached!
% 0.21/0.47 % (13432)------------------------------
% 0.21/0.47 % (13432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.47 % (13432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.47 % (13432)Termination reason: Unknown
% 0.21/0.47 % (13432)Termination phase: Blocked clause elimination
% 0.21/0.47
% 0.21/0.47 % (13432)Memory used [KB]: 1023
% 0.21/0.47 % (13432)Time elapsed: 0.005 s
% 0.21/0.47 % (13432)Instructions burned: 3 (million)
% 0.21/0.47 % (13432)------------------------------
% 0.21/0.47 % (13432)------------------------------
% 0.21/0.53 % (13448)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.53 % (13425)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (13452)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.53 % (13424)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.53 % (13452)First to succeed.
% 0.21/0.53 % (13450)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.53 % (13446)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.53 % (13428)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (13426)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.53 TRYING [1]
% 0.21/0.53 TRYING [2]
% 0.21/0.53 % (13427)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (13428)Also succeeded, but the first one will report.
% 0.21/0.54 % (13452)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (13452)------------------------------
% 0.21/0.54 % (13452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (13452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (13452)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (13452)Memory used [KB]: 5500
% 0.21/0.54 % (13452)Time elapsed: 0.139 s
% 0.21/0.54 % (13452)Instructions burned: 5 (million)
% 0.21/0.54 % (13452)------------------------------
% 0.21/0.54 % (13452)------------------------------
% 0.21/0.54 % (13423)Success in time 0.184 s
%------------------------------------------------------------------------------